Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Diagnostic Tests - D Diagnostic Tests: Trigonometry: 3

Answer

Answer: $2\pi$ $\approx$ 6.28

Work Step by Step

First, we convert the 30° in radians with the equation: $x° * \frac{\pi}{180}$ then, $30° * \frac{\pi}{180}$ = $ \frac{\pi}{6}$ Then, knowing the equation to find the arc of a circle ($L$) is: $L = angle\times radius$ we multiply the radians that we already found by the radius $ \frac{\pi}{6}$ * radius = $ \frac{\pi}{6} * 12$ = $ \frac{12\pi}{6}$ This gives ${2\pi}$
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